As of the year 2000, the African nation of Chad had one of the highest population growth rates in the world, 3.3%/year. At the other extreme in 2000, the United Kingdom had one of the lowest (positive) growth rates, 0.1%/year. (There are countries with zero or with negative growth rates.)
(a) In 2000 the sizes of the populations of Chad and the United Kingdom were 8.0 million and 59.8 million, respectively. Write the exponential growth law for each country, letting t = 0 correspond to 2000.
Chad N(t) = ???
United Kingdom N(t) = ??

Question

As of the year 2000, the African nation of Chad had one of the highest population growth rates in the world, 3.3%/year. At the other extreme in 2000, the United Kingdom had one of the lowest (positive) growth rates, 0.1%/year. (There are countries with zero or with negative growth rates.)
(a) In 2000 the sizes of the populations of Chad and the United Kingdom were 8.0 million and 59.8 million, respectively. Write the exponential growth law for each country, letting t = 0 correspond to 2000.
Chad   N(t) =  ???
United Kingdom   N(t) = ??

anonymous · Answer

is the exponential growth law for both,, this comes from the formula $$N(t) = N _{0}e ^{-kt}$$, where N)subzero) is the population at t = 0 (time).  k is the growth constant and t represents time.

anonymous · Answer

Chad-> igrwoth rate k = .033 $$N _{?}$$ = 8 mill

anonymous · Answer

argghh,, I hate this thing

anonymous · Answer

Chad-> growth rate k = .033, so $$N(t) = 8e ^{-.033t}$$

anonymous · Answer

UK-> k = .001 and $$N _{0} =$$59.8 ....is the population at t= 0.  So, UK's exp growth law is $$N(t) = 59.8e ^{-.001t}$$